The Smes per week a student uses a lab computer are normaly dstributed, with a m

Question

The Smes per week a student uses a lab computer are normaly dstributed, with a mean of 6.3 hours and a sandard deviation of 1.3 hours A student is randomly selected Find the following probabilies (a) Find the probability that the student uses a lab computer less than 4 hours per week (b) Find the probablity that the student uses a lab computer c) Find the probability that the sludent uses a lab computer more than 9 hours per week (a) The probability Phat a student uses a lab computer less than 4 hours per week is Round to three decial places as reeded ) (Round to three decimal places as needed)

Explanation / Answer

a) P(X<4) =P(Z<(4-6.3)/1.3)=P(Z<-1.7692)=0.038

b)P(7<X<8)=P(0.538<Z<1.308)=0.905-7.05 =0.200

c)P(X>9)=1-P(X<9) =1-P(Z<2.077)=1-0.981 =0.019

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